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380149560 = 233257612473
BaseRepresentation
bin10110101010001…
…001111100111000
3222111022121011100
4112222021330320
51234304241220
6101415531400
712264134520
oct2652117470
9874277140
10380149560
11185647a9a
12a7389b60
13609b128b
14386b8680
1523591d90
hex16a89f38

380149560 has 192 divisors, whose sum is σ = 1435711680. Its totient is φ = 85432320.

The previous prime is 380149513. The next prime is 380149633. The reversal of 380149560 is 65941083.

380149560 is a `hidden beast` number, since 3 + 80 + 14 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152484 + ... + 154956.

It is an arithmetic number, because the mean of its divisors is an integer number (7477665).

Almost surely, 2380149560 is an apocalyptic number.

380149560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380149560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717855840).

380149560 is an abundant number, since it is smaller than the sum of its proper divisors (1055562120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380149560 is a wasteful number, since it uses less digits than its factorization.

380149560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 380149560 is about 19497.4244452953. The cubic root of 380149560 is about 724.4106570099.

It can be divided in two parts, 38014 and 9560, that added together give a palindrome (47574).

The spelling of 380149560 in words is "three hundred eighty million, one hundred forty-nine thousand, five hundred sixty".